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Finding the Fourth Proportional to 242,051.20, 363,076.80 and 231,164.80

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Solution

The fourth proportional to 242,051.20, 363,076.80 and 231,164.80 is: 346,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,051.20 : 363,076.80 = 231,164.80 : x
  2. Step 2: Convert to fraction form
    242,051.20/363,076.80 = 231,164.80/x
  3. Step 3: Cross multiply
    242,051.20x = 363,076.80 × 231,164.80
  4. Step 4: Simplify right side
    242,051.20x = 83,930,575,856.64
  5. Step 5: Solve for x
    x = 83,930,575,856.64/242,051.20
  6. Step 6: Final answer
    x = 346,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.